Relativistic spin dynamics conditioned by dark matter axions

Abstract The relativistic spin dynamics defined by the pseudoscalar field of dark matter axions is rigorously determined. The relativistic Hamiltonian in the Foldy–Wouthuysen representation is derived. It agrees with the previously obtained nonrelativistic Hamiltonians and the relativistic classical...

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Main Author: A. J. Silenko
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10827-7
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author A. J. Silenko
author_facet A. J. Silenko
author_sort A. J. Silenko
collection DOAJ
description Abstract The relativistic spin dynamics defined by the pseudoscalar field of dark matter axions is rigorously determined. The relativistic Hamiltonian in the Foldy–Wouthuysen representation is derived. It agrees with the previously obtained nonrelativistic Hamiltonians and the relativistic classical estimation of the axion wind effect. In the relativistic Hamiltonian, the biggest term describes the extraordinary (three orders of magnitude) enhancement of the axion wind effect in storage ring experiments as compared with experiments with immobile particles. This term defines the spin rotation about the longitudinal axis. The effects caused by the axion-induced oscillating EDM and the axion wind consist in the spin rotations about the different horizontal axes and phases of stimulating oscillations differ by $$\pi /2$$ π / 2 . Experiments in a search for dark matter axions has been discussed. The two experimental designs for axion search experiments in storage rings have been elaborated.
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spelling doaj.art-ab1e345a94a949f69f8d43df6214fdce2022-12-22T04:29:06ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-10-0182101710.1140/epjc/s10052-022-10827-7Relativistic spin dynamics conditioned by dark matter axionsA. J. Silenko0Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear ResearchAbstract The relativistic spin dynamics defined by the pseudoscalar field of dark matter axions is rigorously determined. The relativistic Hamiltonian in the Foldy–Wouthuysen representation is derived. It agrees with the previously obtained nonrelativistic Hamiltonians and the relativistic classical estimation of the axion wind effect. In the relativistic Hamiltonian, the biggest term describes the extraordinary (three orders of magnitude) enhancement of the axion wind effect in storage ring experiments as compared with experiments with immobile particles. This term defines the spin rotation about the longitudinal axis. The effects caused by the axion-induced oscillating EDM and the axion wind consist in the spin rotations about the different horizontal axes and phases of stimulating oscillations differ by $$\pi /2$$ π / 2 . Experiments in a search for dark matter axions has been discussed. The two experimental designs for axion search experiments in storage rings have been elaborated.https://doi.org/10.1140/epjc/s10052-022-10827-7
spellingShingle A. J. Silenko
Relativistic spin dynamics conditioned by dark matter axions
European Physical Journal C: Particles and Fields
title Relativistic spin dynamics conditioned by dark matter axions
title_full Relativistic spin dynamics conditioned by dark matter axions
title_fullStr Relativistic spin dynamics conditioned by dark matter axions
title_full_unstemmed Relativistic spin dynamics conditioned by dark matter axions
title_short Relativistic spin dynamics conditioned by dark matter axions
title_sort relativistic spin dynamics conditioned by dark matter axions
url https://doi.org/10.1140/epjc/s10052-022-10827-7
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